Finite Group Databasebeta

← Group #13049513

Character table — Group #13049513

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222222222224444444444444444446666888888881212121212121212121212121212121212121212121212121218181818272736363636363636545454108162
order123333336666663333333336666666662466333366666666666666661212121212121212121212121224121244666612121241212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-111-1-1
χ4111111111111111111111111111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ511111111111111111111111111111111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1111-1-1-1-1-1-11111-1-11-1
χ611111111111111111111111111111111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-111-11
χ711111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-11
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-11111-1
χ922222-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12000002-1-1-100000000
χ1022222-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122-2222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2111-2-2-2111111-200000-211100000000
χ1122222-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-22-2-22-1-1-12-1-1-1-2111-2-21111112-1-1-1222-1-1-1-1-1-1-200000-211100000000
χ1222222-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-12-1-1-1-2111-2-2111111-2111-2-2-21111112000002-1-1-100000000
χ132222-12-1-1-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-122222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1200000-12-1-100000000
χ142222-12-1-1-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-122-222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-11-211-211-2-21111-2000001-21100000000
χ152222-12-1-1-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-12-22-2-2-12-1-1-12-1-11-21111-2-21111-12-1-12-1-122-1-1-1-1-2000001-21100000000
χ162222-12-1-1-12-1-1222-12-1-1-12-1-1-12-1-1-12-1-12-2-2-2-2-12-1-1-12-1-11-21111-2-211111-211-211-2-21111200000-12-1-100000000
χ172222-1-12-1-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-122222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1200000-1-12-100000000
χ182222-1-12-1-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-122-222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-111-21-21111-2-211-20000011-2100000000
χ192222-1-12-1-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-12-22-2-2-1-12-1-1-12-111-211111-2-211-1-12-12-1-1-1-122-1-1-20000011-2100000000
χ202222-1-12-1-1-12-1222-1-12-1-1-12-1-1-12-1-1-12-12-2-2-2-2-1-12-1-1-12-111-211111-2-21111-21-21111-2-211200000-1-12-100000000
χ212222-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122200000-1-1-1200000000
χ222222-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222-222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122111-2-2111111-2-2-200000111-200000000
χ232222-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122-22-2-2-1-1-12-1-1-12111-2111111-2-2-1-1-122-1-1-1-1-1-122-200000111-200000000
χ242222-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-2-1-1-12-1-1-12111-2111111-2-2111-2-2111111-2-2200000-1-1-1200000000
χ25222-122222222-12-12222-1-1-1-1-1-1-1-12222-120-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000002-1-12200002-1-10-1-100
χ26222-122222222-12-12222-1-1-1-1-1-1-1-12222-120-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000-211-2-20000-21101100
χ27222-122222222-12-12222-1-1-1-1-1-1-1-12222-1-2011-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000002-1-1-2-200002-1-101100
χ28222-122222222-12-12222-1-1-1-1-1-1-1-12222-1-2011-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000-211220000-2110-1-100
χ2922-12222222222-1-1-1-1-1-122222222-1-1-1-1-10200-1-1-1-1-1-1-1-10000000000002222-1-1-1-1-1-1-1-1-10222000000-1-1-1200-10
χ3022-12222222222-1-1-1-1-1-122222222-1-1-1-1-10200-1-1-1-1-1-1-1-10000000000002222-1-1-1-1-1-1-1-1-10-2-2-2000000111-20010
χ3122-12222222222-1-1-1-1-1-122222222-1-1-1-1-10-200-1-1-1-1-1-1-1-1000000000000-2-2-2-21111111110222000000-1-1-1-20010
χ3222-12222222222-1-1-1-1-1-122222222-1-1-1-1-10-200-1-1-1-1-1-1-1-1000000000000-2-2-2-21111111110-2-2-2000000111200-10
χ332-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002222-2-2-2-2000000000000000000000000000002i−2i000000002i−2i00
χ342-2222222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002222-2-2-2-200000000000000000000000000000−2i2i00000000−2i2i00
χ352-22-12222-2-2-2-21-2-12222-1-1-1-11111-2-2-2-2100−i3i3-1-1-1-111110000−i3i3−i3i3−i3i3−i3i30000000000000003−32i−2i000003−30−ii00
χ362-22-12222-2-2-2-21-2-12222-1-1-1-11111-2-2-2-2100−i3i3-1-1-1-111110000−i3i3−i3i3−i3i3−i3i3000000000000000−33−2i2i00000−330i−i00
χ372-22-12222-2-2-2-21-2-12222-1-1-1-11111-2-2-2-2100i3−i3-1-1-1-111110000i3−i3i3−i3i3−i3i3−i30000000000000003−3−2i2i000003−30i−i00
χ382-22-12222-2-2-2-21-2-12222-1-1-1-11111-2-2-2-2100i3−i3-1-1-1-111110000i3−i3i3−i3i3−i3i3−i3000000000000000−332i−2i00000−330−ii00
χ39444-24-2-2-24-2-2-2-24-24-2-2-2-2111-21114-2-2-2-240-2-2-2111-21114-2-2-2-2-21111110000000000000000000000000000000
χ40444-24-2-2-24-2-2-2-24-24-2-2-2-2111-21114-2-2-2-2-4022-2111-2111-422222-1-1-1-1-1-10000000000000000000000000000000
χ41444-2-24-2-2-24-2-2-24-2-24-2-21-2111-211-24-2-2-240-2-21-2111-211-24-2-211-2-211110000000000000000000000000000000
χ42444-2-24-2-2-24-2-2-24-2-24-2-21-2111-211-24-2-2-2-40221-2111-2112-422-1-122-1-1-1-10000000000000000000000000000000
χ43444-2-2-24-2-2-24-2-24-2-2-24-211-2111-21-2-24-2-240-2-211-2111-21-2-24-21111-2-2110000000000000000000000000000000
χ44444-2-2-24-2-2-24-2-24-2-2-24-211-2111-21-2-24-2-2-402211-2111-2122-42-1-1-1-122-1-10000000000000000000000000000000
χ45444-2-2-2-24-2-2-24-24-2-2-2-24111-2111-2-2-2-24-240-2-2111-2111-2-2-2-24111111-2-20000000000000000000000000000000
χ46444-2-2-2-24-2-2-24-24-2-2-2-24111-2111-2-2-2-24-2-4022111-2111-2222-4-1-1-1-1-1-1220000000000000000000000000000000
χ4744-244-2-2-24-2-2-24-2-2-21114-2-2-24-2-2-2-2111-20400-2111-21110000000000004-2-2-2-2-2-2111111000000000000000000
χ4844-244-2-2-24-2-2-24-2-2-21114-2-2-24-2-2-2-2111-20-400-2111-2111000000000000-4222222-1-1-1-1-1-1000000000000000000
χ4944-24-24-2-2-24-2-24-2-21-211-24-2-2-24-2-21-211-204001-2111-211000000000000-24-2-2-211-2-21111000000000000000000
χ5044-24-24-2-2-24-2-24-2-21-211-24-2-2-24-2-21-211-20-4001-2111-2110000000000002-4222-1-122-1-1-1-1000000000000000000
χ5144-24-2-24-2-2-24-24-2-211-21-2-24-2-2-24-211-21-2040011-2111-21000000000000-2-24-2-21111-2-211000000000000000000
χ5244-24-2-24-2-2-24-24-2-211-21-2-24-2-2-24-211-21-20-40011-2111-2100000000000022-422-1-1-1-122-1-1000000000000000000
χ5344-24-2-2-24-2-2-244-2-2111-2-2-2-24-2-2-24111-2-20400111-2111-2000000000000-2-2-24-2111111-2-2000000000000000000
χ5444-24-2-2-24-2-2-244-2-2111-2-2-2-24-2-2-24111-2-20-400111-2111-2000000000000222-42-1-1-1-1-1-122000000000000000000
χ5544-2-244444444-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21000011111111000000000000000000000000004-2-2000000-21100000
χ5644-2-244444444-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2100001111111100000000000000000000000000-4220000002-1-100000
χ574-4444-2-2-2-4222-4-444-2-2-24-2-2-2-4222-4222-400004-2-2-2-42220000000000000000000000000000000000000000000
χ584-444-24-2-22-422-4-44-24-2-2-24-2-22-4222-422-40000-24-2-22-4220000000000000000000000000000000000000000000
χ594-444-2-24-222-42-4-44-2-24-2-2-24-222-4222-42-40000-2-24-222-420000000000000000000000000000000000000000000
χ604-444-2-2-24222-4-4-44-2-2-24-2-2-24222-4222-4-40000-2-2-24222-40000000000000000000000000000000000000000000
χ614-44-24-2-2-2-42222-4-24-2-2-2-21112-1-1-1-4222200−2i32i3-21112-1-1-10000−2i32i3i3−i3i3−i3i3−i30000000000000000000000000000000
χ624-44-24-2-2-2-42222-4-24-2-2-2-21112-1-1-1-42222002i3−2i3-21112-1-1-100002i3−2i3−i3i3−i3i3−i3i30000000000000000000000000000000
χ634-44-2-24-2-22-4222-4-2-24-2-21-211-12-1-12-422200−2i32i31-211-12-1-10000i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000
χ644-44-2-24-2-22-4222-4-2-24-2-21-211-12-1-12-4222002i3−2i31-211-12-1-10000−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000000
χ654-44-2-2-24-222-422-4-2-2-24-211-21-1-12-122-42200−2i32i311-21-1-12-10000i3−i3i3−i3−2i32i3i3−i30000000000000000000000000000000
χ664-44-2-2-24-222-422-4-2-2-24-211-21-1-12-122-422002i3−2i311-21-1-12-10000−i3i3−i3i32i3−2i3−i3i30000000000000000000000000000000
χ674-44-2-2-2-24222-42-4-2-2-2-24111-2-1-1-12222-4200−2i32i3111-2-1-1-120000i3−i3i3−i3i3−i3−2i32i30000000000000000000000000000000
χ684-44-2-2-2-24222-42-4-2-2-2-24111-2-1-1-12222-42002i3−2i3111-2-1-1-120000−i3i3−i3i3−i3i32i3−2i30000000000000000000000000000000
χ694-4-244444-4-4-4-4-42-2-2-2-2-24444-4-4-4-4222220000-2-2-2-222220000000000000000000000000000000000000000000
χ704-4-244-2-2-2-4222-42-2-21114-2-2-2-42222-1-1-120000-21112-1-1-100000000000000000003i−3i3i−3i3i−3i000000000000000000
χ714-4-244-2-2-2-4222-42-2-21114-2-2-2-42222-1-1-120000-21112-1-1-10000000000000000000−3i3i−3i3i−3i3i000000000000000000
χ724-4-24-24-2-22-422-42-21-211-24-2-22-422-12-1-1200001-211-12-1-1000000000000000003i−3i003i−3i−3i3i000000000000000000
χ734-4-24-24-2-22-422-42-21-211-24-2-22-422-12-1-1200001-211-12-1-100000000000000000−3i3i00−3i3i3i−3i000000000000000000
χ744-4-24-2-24-222-42-42-211-21-2-24-222-42-1-12-12000011-21-1-12-1000000000000000003i−3i−3i3i003i−3i000000000000000000
χ754-4-24-2-24-222-42-42-211-21-2-24-222-42-1-12-12000011-21-1-12-100000000000000000−3i3i3i−3i00−3i3i000000000000000000
χ764-4-24-2-2-24222-4-42-2111-2-2-2-24222-4-1-1-1220000111-2-1-1-12000000000000000003i−3i3i−3i−3i3i00000000000000000000
χ774-4-24-2-2-24222-4-42-2111-2-2-2-24222-4-1-1-1220000111-2-1-1-1200000000000000000−3i3i−3i3i3i−3i00000000000000000000
χ784-4-2-24444-4-4-4-4221-2-2-2-2-2-2-2-222222222-100001111-1-1-1-100000000000000000000000000023−230000000−3300000
χ794-4-2-24444-4-4-4-4221-2-2-2-2-2-2-2-222222222-100001111-1-1-1-1000000000000000000000000000−232300000003−300000
χ8088-4-48-4-4-48-4-4-4-4-42-4222-4222-4222-4222200002-1-1-12-1-1-10000000000000000000000000000000000000000000
χ8188-4-4-48-4-4-48-4-4-4-422-4222-4222-4222-42220000-12-1-1-12-1-10000000000000000000000000000000000000000000
χ8288-4-4-4-48-4-4-48-4-4-4222-4222-4222-4222-4220000-1-12-1-1-12-10000000000000000000000000000000000000000000
χ8388-4-4-4-4-48-4-4-48-4-42222-4222-4222-4222-420000-1-1-12-1-1-120000000000000000000000000000000000000000000
χ848-8-4-48-4-4-4-8444442-4222-42224-2-2-24-2-2-2-200002-1-1-1-21110000000000000000000000000000000000000000000
χ858-8-4-4-48-4-44-8444422-4222-422-24-2-2-24-2-2-20000-12-1-11-2110000000000000000000000000000000000000000000
χ868-8-4-4-4-48-444-8444222-4222-42-2-24-2-2-24-2-20000-1-12-111-210000000000000000000000000000000000000000000
χ878-8-4-4-4-4-48444-8442222-4222-4-2-2-24-2-2-24-20000-1-1-12111-20000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).